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Finding the Third Proportional to 535,489.50 and 713,906.25

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Solution

The third proportional to 535,489.50 and 713,906.25 is: 951,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,489.50 : 713,906.25 = 713,906.25 : x
  2. Step 2: Convert to fraction form
    535,489.50/713,906.25 = 713,906.25/x
  3. Step 3: Cross multiply
    535,489.50x = 713,906.25 × 713,906.25
  4. Step 4: Simplify right side
    535,489.50x = 509,662,133,789.06
  5. Step 5: Solve for x
    x = 509,662,133,789.06/535,489.50
  6. Step 6: Final answer
    x = 951,768.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.